27113687040 has 768 divisors, whose sum is σ = 103028889600. Its totient is φ = 6016204800.

The previous prime is 27113687017. The next prime is 27113687063. The reversal of 27113687040 is 4078631172.

It is an interprime number because it is at equal distance from previous prime (27113687017) and next prime (27113687063).

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 27113687040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263239629 + ... + 263239731.

It is an arithmetic number, because the mean of its divisors is an integer number (134152200).

Almost surely, 2^27113687040 is an apocalyptic number.

27113687040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27113687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51514444800).

27113687040 is an abundant number, since it is smaller than the sum of its proper divisors (75915202560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27113687040 is a wasteful number, since it uses less digits than its factorization.

27113687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 27113687040 in words is "twenty-seven billion, one hundred thirteen million, six hundred eighty-seven thousand, forty".